Condensed Matter Physics, 2009, vol. 12, No. 4, pp. 647-656
DOI:10.5488/CMP.12.4.647

Title: Mass-dependence of self-diffusion coefficients in disparate-mass binary fluid mixtures
Author(s):
  I. Binas (Institute for Condensed Matter Physics of National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine) ,
  I. Mryglod (Institute for Condensed Matter Physics of National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)

Self-diffusion coefficients of a binary fluid mixture with components differing only in their particle masses are studied, in particular the case when mass ratio μ of light and heavy particles tends to zero. These coefficients were calculated within the memory function formalism, using the systematic subsequence of approximations for the relaxation times of velocity autocorrelation function. We obtained a general relation for the self-diffusion coefficients which show polynomial dependence on the mass ratio μ. The obtained expression has a correct Brownian limit. We developed the hierarchy of approximations for the self-diffusion coefficients that tends to an exact result from above and below when the order of approximations increases.

Key words: self-diffusion, mass asymmetry, binary fluid, Brownian limit
PACS: 66.10.-x


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